Portal de Periódicos da CAPES

Analysis and computation of adaptive moving grids by deformation

1996; Wiley; Volume: 12; Issue: 4 Linguagem: Inglês

10.1002/(sici)1098-2426(199607)12

1098-2426

Pavel Bochev, Guojun Liao, Gary dela Pena,

Meteorological Phenomena and Simulations

Numerical Methods for Partial Differential EquationsVolume 12, Issue 4 p. 489-506 Analysis and computation of adaptive moving grids by deformation Pavel Bochev, Pavel Bochev Department of Mathematics, University of Texas at Arlington, Box 19408, Arlington, Texas 76019-0408Search for more papers by this authorGuojun Liao, Corresponding Author Guojun Liao liao@utamat.uta.edu Department of Mathematics, University of Texas at Arlington, Box 19408, Arlington, Texas 76019-0408Department of Mathematics, University of Texas at Arlington, Box 19408, Arlington, Texas 76019-0408Search for more papers by this authorGary dela Pena, Gary dela Pena Department of Mathematics, University of Texas at Arlington, Box 19408, Arlington, Texas 76019-0408Search for more papers by this author Pavel Bochev, Pavel Bochev Department of Mathematics, University of Texas at Arlington, Box 19408, Arlington, Texas 76019-0408Search for more papers by this authorGuojun Liao, Corresponding Author Guojun Liao liao@utamat.uta.edu Department of Mathematics, University of Texas at Arlington, Box 19408, Arlington, Texas 76019-0408Department of Mathematics, University of Texas at Arlington, Box 19408, Arlington, Texas 76019-0408Search for more papers by this authorGary dela Pena, Gary dela Pena Department of Mathematics, University of Texas at Arlington, Box 19408, Arlington, Texas 76019-0408Search for more papers by this author First published: July 1996 https://doi.org/10.1002/(SICI)1098-2426(199607)12:4 3.0.CO;2-ICitations: 30AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Abstract We develop and analyze a numerical method for creating an adaptive moving grid in one-, two-, and three-dimensional regions. The method distributes grid nodes according to a given analytic or discrete weight function of the spatial and time variables, which reflects the fine structure of the solution. The weight function defines a vector field, which is used to construct a transformation of the computational domain into the physical domain. We prove that the resulting grid has the prescribed cell sizes and that no “mesh tangling” occurs. Numerical implementation of the method utilizes an efficient and robust least-squares solver to compute the vector field and a fourth-order Runge-Kutta scheme to determine the transformation. Results of several numerical experiments in one- and two-dimensions are also presented. These results indicate, among other things, that the method accurately redistributes the nodes and does not tangle the mesh. © 1996 John Wiley & Sons, Inc. Citing Literature Volume12, Issue4July 1996Pages 489-506 RelatedInformation